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Conditional probability from exact representations

Question 1 of 8

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A collection of labels is classified by shape and printing

One of the listed outcomes or recorded items is selected uniformly at random

Let A be the event that the label is rectangular, and let B be the event that the label has a barcode. The sample space is S

The sample space S contains the whole-number labels 1 to 20, inclusive

\[A = \{1, 2, 3, 9, 10, 11, 12, 13, 14, 15\}\]
\[B = \{4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15\}\]
(a)1 mark

Which event is known in \(\Pr(B\mid A)\)?

(b)1 mark

What is the probability that the label has a barcode, if it is known that the label is rectangular?

Format: exact probability